What is the Greatest Common Factor of 25260 and 25275?

Greatest common factor (GCF) of 25260 and 25275 is 15.

GCF(25260,25275) = 15

We will now calculate the prime factors of 25260 and 25275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25260 and 25275.

How to find the GCF of 25260 and 25275?

We will first find the prime factorization of 25260 and 25275. After we will calculate the factors of 25260 and 25275 and find the biggest common factor number .

Step-1: Prime Factorization of 25260

Prime factors of 25260 are 2, 3, 5, 421. Prime factorization of 25260 in exponential form is:

25260 = 2² × 3¹ × 5¹ × 421¹

Step-2: Prime Factorization of 25275

Prime factors of 25275 are 3, 5, 337. Prime factorization of 25275 in exponential form is:

25275 = 3¹ × 5² × 337¹

Step-3: Factors of 25260

List of positive integer factors of 25260 that divides 25260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 421, 842, 1263, 1684, 2105, 2526, 4210, 5052, 6315, 8420, 12630

Step-4: Factors of 25275

List of positive integer factors of 25275 that divides 25260 without a remainder.

1, 3, 5, 15, 25, 75, 337, 1011, 1685, 5055, 8425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25260 and 25275. The biggest common factor number is the GCF number.
So the greatest common factor 25260 and 25275 is 15.

Also check out the Least Common Multiple of 25260 and 25275